Find the GCF of 42m−28n

Question

.(1 point)
Responses

2
2

7
7

84
84

14

Answer 1

To find the GCF (Greatest Common Factor) of the expression $42m-28n$, we can start by determining the GCF of the coefficients of the terms (42 and 28).

1. Find the GCF of 42 and 28:

   • The factors of 42 are: $1,2,3,6,7,14,21,42$
   • The factors of 28 are: $1,2,4,7,14,28$
   • The common factors are: $1,2,7,14$
   • The greatest of these is $14$.

2. Factor out the GCF from the expression: $$42m-28n=14(3m-2n)$$

Thus, the GCF of the expression $42m-28n$ is 14.

The correct response is: 14